Question 860356
let the number be xy

value of number = 10x+y

10x+y = 8(x+y)

10x+y =8x+8y
2x-7y=0....................(1)

10x+y-45 = 10y+x

9x-9y=45

x-y = 5.................(2)

multiply by -2
-2x+2y=-10
add to (1)

-5y=-10
y=2

x-y =5

x=7

Number = 72